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LCM of 964, 474, 936, 207

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 964, 474, 936, 207 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 964, 474, 936, 207. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 964,474,936,207

Given numbers are 964,474,936,207

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 964,474,936,207 is 409871592.

Find LCM of 964,474,936,207 with Prime Factorization


2 964, 474, 936, 207
2 482, 237, 468, 207
3 241, 237, 234, 207
3 241, 79, 78, 69
241, 79, 26, 23

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 3 x 241 x 79 x 26 x 23 = 409871592

Therefore, the lowest common multiple of 964,474,936,207 is 409871592.

LCM Formula to Find Lowest Common Multiple of 964,474,936,207

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

964 x 474 x 936 x 207 = 88532263872

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

964 : 1, 2, 4, 241, 482, 964

474 : 1, 2, 3, 6, 79, 158, 237, 474

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,474,936,207, is 1.

Now, the common factors can be found like this.

964:2x 2x 241

474:2x 3x 79

936:2x 2x 2x 3x 3x 13

207:3x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 88532263872/(1x216)

LCM = 88532263872/216

LCM = 409871592

Thus, we can understand that the LCM of 964,474,936,207 is 409871592.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 964, 474, 936, 207

1. What is the LCM of 964, 474, 936, 207?

Answer: LCM of 964, 474, 936, 207 is 409871592.

2. How to calculate the LCM of 964, 474, 936, 207?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 964, 474, 936, 207.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.